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Grid Transformations

Layered Patterns 

Natural layering processes and structural patterns found in organic forms can provide effective models for efficient material distribution. Here, pattern emerges as a result of a complex growth process. In architecture, patterns are often reduced to mere geometric formations. While the repetitive nature of geometric patterns is fascinating and has a long tradition in global architectural culture, we aim to investigate the potential of using patterns beyond their conspicuous visual appeal.

For example, each layer in a layered system is governed by a simple set of transformations and translations. Through the overlay of multiple elements, various pattern densities can be achieved. In the design of building elements, this can be used to enhance the overall structural behavior and light penetration through a gradient material distribution.

While pattern logics are intrinsically scale-less, architectural materials often relate to a specific scale. When implemented for architectural functions, pattern logics have a scale which is defined by the material used.

Non Uniform Grids 

Grids are ordering systems. They represent immaterial logics, defined by, common sense, design intent or simple planning rules. Grids are well-defined measures to structure, order and control spaces, whether spaces connote areas or volumes.

While the application of grids is widely accepted, their rigor poses a challenge to flexible long-term planning and freeform design.  Modern information technology allows us to overcome the strict logics imposed by these rational ordering systems. We are now able to deform, inform, transform and overlay grids to generate spaces that are not confined to the design space of traditional grids.

Parquet deformations are one example of such transformed grids:; they exhibit topological changes on the nodal level by geometric variation of a pattern. Parquet deformations and multi-topologic grids may offer effective systems for organization by defying the rigidity of classic systems such as rectangular grid arrays.

We investigate strategies to develop computer-based tessellations that transform similarly to parquet tessellations by manipulating the valence, or the connectivity of each node, in a larger pattern. Here the pattern is not achieved through tiles but through the design of the network that separates them

Alexander, C.: A pattern language ARCH+ 189: Entwurfsmuster Arcy Thompson (2011), On Growth and Form, CreateSpace Independent Publishing Platform Parquet Deformations: Patterns of Tiles That Shift Gradually in One Dimension by Douglas Hofstadter